A wire under a tension vibrates with fun...

A wire under a tension vibrates with fundamental frequency of 256 Hz . What should be the fundamental frequency of the wire if its length is half, thickness twice and one - fourth of the tension ?

128 Hz

64 Hz

200 Hz

96 Hz

Text Solution

Verified by Experts

The correct Answer is:

`n_2/n_1=l_1/l_2d_1/d_2 sqrt(T_2/T_1)`
`=2/1xx1/2xxsqrt(1/4) = 1/2`
`n_2 = (n_1)/(2) = 256/2 = 128Hz`

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